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AP EAMCET · Maths · Circle

If the angle between the circles x2+y2-12x-6y+41=0 and x2+y2+kx+6y-59=0 is 45°, then a value of k is

  1. A 0
  2. B -4
  3. C -3
  4. D -1
Verified Solution

Answer & Solution

Correct Answer

(B) -4

Step-by-step Solution

Detailed explanation

We know that angle between two circlesx2+y2+2g1x+2f1y+c'=0 and x2+y2+2g2x+2f2y+c''=0 is given by cosθ=c1c22-r12-r222r1r2 where, c1c2 is the distance between the centres of the two circles and r1 & r2 are the radius of the circles. Now,…
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